Toeplitz determinants with one Fisher-Hartwig singularity
type: Item
instance of: scholarly article
title: Toeplitz determinants with one Fisher-Hartwig singularity
zbMATH Open document ID: 0909.47019
author: Torsten Ehrhardt
author: B. Silbermann
published in: Journal of Functional Analysis
publication date: 1999-03-28T00:00:00Z
review text: The authors study the asymptotic behaviour of the Toeplitz determinants \(T_n (c)\) as \(n\) tends to infinity in the case of symbols with one singularity. This symbol has a form \[ c(e^{i\theta} e^{i\theta}) \prod_{r}^R t_{\beta _r}\left( e^{i(\theta-i\theta _r)}\right) u_{\alpha _r}\left( e^{i(\theta-i\theta _r)}\right) \] where \(t_\beta \left (e^{i\theta} \right) ^{i\beta(\theta - \pi)}\), \(u_{\alpha}\left(e^{i\theta} \right)( 2- 2 \cos \theta)^\alpha\) and \(b\) are sufficiently smooth nonvanishing functions.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 1054130
zbMATH Keywords: Toeplitz determinants
zbMATH Keywords: Fisher-Hartwig conjecture
zbMATH Keywords: asymptotic behaviour
reviewed by: N. Karapetiants
MaRDI profile type: Publication
full work available at URL: jfan.1996.3074
OpenAlex ID: W2042883682
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DOI: 10.1006/JFAN.1996.3074
description: scientific article; zbMATH DE number 1054130